LINEAR ELLIPTIC SYSTEMS INVOLVING FINITE RADON MEASURES

The study of elliptic boundary value problems with L1 or Radon measure data has been initiated in the last few decades by the pioneering works of Stampacchia [12], Brezis-Strauss [7], Brezis [5], [6]. Let Ω be a smooth bounded domain in RN. Consider the problem −div (ai(x)∇ui) + d∑ j=1 bij(x)uj = fi, in Ω, for i = 1, · · · , d ui = 0, on ΓD, for i = 1, · · · ,